Use our free GCF of Fractions Calculator tool to compute the GCF of 40/608, 32/272, 865/893 i.e 1/485792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/608, 32/272, 865/893.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/608,32/272,865/893
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 40/608,32/272,865/893, numerators are 40,32,865
Denominators are 608,272,893
The GCF of 40,32,865 is 1 .
LCM of 608,272,893 is 485792.
The greatest common factor of 40/608,32/272,865/893 = [GCF of 40,32,865]/[LCM of 608,272,893]= 1/485792
Therefore, the GCF of 40/608,32/272,865/893 is 1/485792.
To find the highest common factor of 40,32,865, we have to find the factors of both numbers and list the highest common factor.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 865 are 1, 5, 173, 865
The HCF of 40,32,865 is 1.
Lets's calculate GCF of 40,32,865
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 865
:1,5,173,865
Greatest Common Factor
We found the factors 40,32,865 . The biggest common factor number is the GCF number.
So the greatest common factor 40,32,865 is 1.
Lets's calculate LCM of 608,272,893
2 | 608, 272, 893 |
2 | 304, 136, 893 |
2 | 152, 68, 893 |
2 | 76, 34, 893 |
19 | 38, 17, 893 |
2, 17, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 2 x 17 x 47 = 485792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/485792
Therefore, the GCF of Fractions 40/608,32/272,865/893 is 1/485792
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 608,272,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,272,893) = 1
common factors(in case of two or more numbers have common factors) = 304
GCF(608,272,893) x common factors =1 x 304 = 304
LCM(608,272,893) = ( 608 × 272 × 893 ) / 304
LCM(608,272,893) = 147680768 / 304
LCM(608,272,893) = 485792
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 40,32,865?
The HCF of 40,32,865 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 40/608, 32/272, 865/893?
Answer: GCF of Numerators as per given numbers 40/608, 32/272, 865/893 is
GCF of Numerators i.e. for 40,32,865 is 1
LCM of denominators i.e. for 608,272,893 is 485792.
Thus, GCF of Fractions is 1/485792.Finally, GCF of Fractions for 40/608, 32/272, 865/893 is 1/485792.